Mathematical model of pneumonia and HIV/AIDS coinfection in the presence of protection

Abstract

In this paper, a deterministic co-infection model incorporating protection from infection for both pneumonia infection and HIV/AIDS is considered. The model is shown to be positively invariant as well as bounded. Specifically we consider the case of maximum protection against pneumonia and the case of maximum protection against HIV/AIDS. In both cases, the endemic states are shown to exist provided the reproduction number for each case is greater than unity. Furthermore, by use of a suitable Lyapunov function, the endemic states have been shown to be globally asymptotically stable. Numerical sim-